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Finding the Fourth Proportional to 262,662.40, 394,042.20 and 85,175.20

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Solution

The fourth proportional to 262,662.40, 394,042.20 and 85,175.20 is: 127,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,662.40 : 394,042.20 = 85,175.20 : x
  2. Step 2: Convert to fraction form
    262,662.40/394,042.20 = 85,175.20/x
  3. Step 3: Cross multiply
    262,662.40x = 394,042.20 × 85,175.20
  4. Step 4: Simplify right side
    262,662.40x = 33,562,623,193.44
  5. Step 5: Solve for x
    x = 33,562,623,193.44/262,662.40
  6. Step 6: Final answer
    x = 127,778.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.